math stats

11:57 AM Tue May 11 . 7 7 75%

AM May a, Wrestling is a somewhat unique sport in that it can be viewed as both an individual and team sport. The Anytown High School wrestling team consists of five wrestlers, each competing In a different weight class. The point differentials (difference in points between these wrestlers and their opponents) for the first ten meets are recorded for these five wrestlers, and the distributions of their individual results are approximately normal with the following means and standard deviations. (For matches resulting in pins, the point differential was recorded as 15, the same as for a technical fall.) Weight Class 1251b 1401b 152 lb 1891b 2151b 74 7.9 72 81 32 51 4.7 5-3 a. What is the probability that the 215-1b wrestler will beat his next opponent by at least 14 points? b. Suppose the team score is calculated directly from the point differentials. What would be the mean score and standard deviation for this team? c. Team scores are not calculated directly from the point differentials. If the real team score average for last season was 39.5 with a standard deviation of 13.202, do you have any reservations about using this information and part(b) to determine if there is a significant difference in the two scoring methods? Explain.